On the DotDev.co blog there's a recent tutorial posted from Eric Barnes showing you how to combine Laravel Mix and WordPress to make it easier to manage webpack dependencies.

Laravel Mix is a fluent wrapper around the webpack module bundler, and it provides common tools that help you compile CSS and JavaScript. It’s easy to work with, and although it comes baked into the Laravel framework, you can use it anywhere.

This site is using WordPress, and when I created the theme I used Mix to handle the asset compiling; it was simple to setup. Here is a quick overview of how I did it in four steps. Please note, you will need to have a recent version of Node and npm installed on your machine before continuing.

He then walks you through a four step process to set up the integration between the two:

Step 1. Create the package.json File

Step 2. Webpack Mix

Step 3. Create Your style.scss File

Step 4. Create an app.js

He ends the post with some helpful commands you can use while you're in the development process including compiling for both dev and production environments. More information about Mix can be found in the Laravel documentation.